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Finding the Third Proportional to 6,921.70 and 10,389.09

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Solution

The third proportional to 6,921.70 and 10,389.09 is: 15,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.70 : 10,389.09 = 10,389.09 : x
  2. Step 2: Convert to fraction form
    6,921.70/10,389.09 = 10,389.09/x
  3. Step 3: Cross multiply
    6,921.70x = 10,389.09 × 10,389.09
  4. Step 4: Simplify right side
    6,921.70x = 107,933,268.95
  5. Step 5: Solve for x
    x = 107,933,268.95/6,921.70
  6. Step 6: Final answer
    x = 15,593.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.